Question

What steps would you do to solve n/7 + 3 ≥ -4?

Multiply by seven, then subtract three.
Add three, then multiply by seven.
Subtract three, then multiply by seven.
Subtract three, then divide by seven.

Answer 1

To solve the inequality \( \frac{n}{7} + 3 \geq -4 \), follow these steps:

1. **Subtract 3 from both sides** to isolate the term with \( n \):
\[
\frac{n}{7} \geq -4 - 3
\]
\[
\frac{n}{7} \geq -7
\]

2. **Multiply both sides by 7** to eliminate the fraction. Since 7 is a positive number, the inequality direction remains the same:
\[
n \geq -7 \times 7
\]
\[
n \geq -49
\]

So, the correct steps are to **subtract 3, then multiply by 7**. Therefore, the answer is:

**Subtract three, then multiply by seven.**